224152641 has 30 divisors (see below), whose sum is σ = 342296370. Its totient is φ = 141331872.

The previous prime is 224152639. The next prime is 224152657. The reversal of 224152641 is 146251422.

224152641 is a `hidden beast` number, since 2 + 2 + 4 + 15 + 2 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161188416 + 62964225 = 12696^2 + 7935^2 .

It is not a de Polignac number, because 224152641 - 2¹ = 224152639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224152681) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2518525 + ... + 2518613.

It is an arithmetic number, because the mean of its divisors is an integer number (11409879).

Almost surely, 2^224152641 is an apocalyptic number.

It is an amenable number.

224152641 is a deficient number, since it is larger than the sum of its proper divisors (118143729).

224152641 is an frugal number, since it uses more digits than its factorization.

224152641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 115 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 224152641 is about 14971.7280565738. The cubic root of 224152641 is about 607.4557118555.

The spelling of 224152641 in words is "two hundred twenty-four million, one hundred fifty-two thousand, six hundred forty-one".